4526080 has 104 divisors (see below), whose sum is σ = 12384792. Its totient is φ = 1572864.

The previous prime is 4526057. The next prime is 4526083. The reversal of 4526080 is 806254.

It can be written as a sum of positive squares in 4 ways, for example, as 331776 + 4194304 = 576^2 + 2048^2 .

It is a tau number, because it is divible by the number of its divisors (104).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4526083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 266232 + ... + 266248.

Almost surely, 2^4526080 is an apocalyptic number.

4526080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4526080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6192396).

4526080 is an abundant number, since it is smaller than the sum of its proper divisors (7858712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4526080 is a wasteful number, since it uses less digits than its factorization.

4526080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 4526080 is about 2127.4585777401. The cubic root of 4526080 is about 165.4146899863.

The spelling of 4526080 in words is "four million, five hundred twenty-six thousand, eighty".